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arxiv: math-ph/0702042 · v1 · pith:ONZSJHUPnew · submitted 2007-02-13 · 🧮 math-ph · math.DG· math.MP

Null Frenet-Serret Dynamics

classification 🧮 math-ph math.DGmath.MP
keywords frenet-serretnullcurvesdynamicsadaptedbackgroundconsiderdeformations
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We consider the Frenet-Serret geometry of null curves in a three and a four-dimensional Minkowski background. We develop a theory of deformations adapted to the Frenet-Serret frame. We exploit it to provide a Lagrangian description of the dynamics of geometric models for null curves.

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